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arxiv: math/0605523 · v2 · submitted 2006-05-18 · 🧮 math.NT · math.CO

A note on Freiman's theorem in vector spaces

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We show that if A is a subset of F_2^n and |A+A| < K|A| then A is contained in a subspace of size at most 2^{O(K^{3/2}log K)}|A|. This improves on the previous best of 2^{O(K^2)}.

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